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199011225 = 35271971281
BaseRepresentation
bin10111101110010…
…10101110011001
3111212110211002010
423313022232121
5401421324400
631425300133
74634365440
oct1367125631
9455424063
10199011225
11a2378096
1256794649
13322cc22a
141c605d57
1512711450
hexbdcab99

199011225 has 96 divisors (see below), whose sum is σ = 402831360. Its totient is φ = 84672000.

The previous prime is 199011223. The next prime is 199011229. The reversal of 199011225 is 522110991.

199011225 is a nontrivial binomial coefficient, being equal to C(19951, 2).

It is not a de Polignac number, because 199011225 - 21 = 199011223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 199011192 and 199011201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708085 + ... + 708365.

It is an arithmetic number, because the mean of its divisors is an integer number (4196160).

Almost surely, 2199011225 is an apocalyptic number.

199011225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199011225 is the 19950-th triangular number.

It is an amenable number.

199011225 is an abundant number, since it is smaller than the sum of its proper divisors (203820135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199011225 is a wasteful number, since it uses less digits than its factorization.

199011225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 199011225 is about 14107.1338336318. The cubic root of 199011225 is about 583.8382231963.

The spelling of 199011225 in words is "one hundred ninety-nine million, eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 71 75 95 105 133 175 213 281 285 355 399 475 497 525 665 843 1065 1349 1405 1425 1491 1775 1967 1995 2485 3325 4047 4215 5325 5339 5901 6745 7025 7455 9443 9835 9975 12425 16017 19951 20235 21075 26695 28329 29505 33725 37275 37373 47215 49175 59853 80085 99755 101175 112119 133475 139657 141645 147525 186865 236075 299265 379069 400425 418971 498775 560595 698285 708225 934325 1137207 1496325 1895345 2094855 2653483 2802975 3491425 5686035 7960449 9476725 10474275 13267415 28430175 39802245 66337075 199011225